# Dresden 2000 – wissenschaftliches Programm

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# SYQF: Quantum Field Theory

## SYQF 1: Quantenfeldtheorie, Schwarze Löcher, Kosmologie

### SYQF 1.2: Hauptvortrag

### Freitag, 24. März 2000, 10:45–11:15, H 02

**Hamiltonian structure and symmetries of Poincaré gauge theory** — •Blagojević Milutin — Institute of Physics, Box 57, 11001 Belgrade, Yugoslavia

The Hamiltonian structure of Poincaré gauge theory of gravity is studied using Dirac’s approach to constrained dynamical systems. It leads to a simple form of the gravitational Hamiltonian, representing a generalization of the canonical ADM Hamiltonian from GR. As an interesting example, we consider the Hamiltonian of the teleparallel equivalent of GR. Gauge invariance of the theory is related to the existence of arbitrary multipliers in the total Hamiltonian, i.e. to the presence of first class constraints. These constraints are used to construct the gauge generators of the theory. The physical content of the concept of symmetry depends not only on the symmetry of the action, but also on the symmetry of boundary conditions. The possibility to define the concept of energy (and other conserved quantities) depends essentially on the symmetries of solutions in the asymptotic region. By assuming that the asymptotic symmetry is the global Poincaré symmetry, we derived the improved form of the symmetry generators and the related conservation laws.